Pure mathematics, Volume 11874 |
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Page 73
... falls due on a Sunday , it is usual in England to meet it on the previous Saturday . Ex . 1. - Find the difference between the true discount and the banker's discount on £ 306 due 4 months hence at 6 per cent . Now , £ 100 would in 4 ...
... falls due on a Sunday , it is usual in England to meet it on the previous Saturday . Ex . 1. - Find the difference between the true discount and the banker's discount on £ 306 due 4 months hence at 6 per cent . Now , £ 100 would in 4 ...
Page 100
... fall within the other . CONSTRUCTION . - Produce AC , AD to E and F , and join CD . PROOF . - Because AC is equal to AD ( Hyp . ) , The triangle ADC is an isosceles triangle , and the angles ECD , FDC , upon the other side of its base ...
... fall within the other . CONSTRUCTION . - Produce AC , AD to E and F , and join CD . PROOF . - Because AC is equal to AD ( Hyp . ) , The triangle ADC is an isosceles triangle , and the angles ECD , FDC , upon the other side of its base ...
Page 117
... falling upon two other straight lines make the alternate angles equal to one another , these two straight lines shall be parallel . Let the straight line EF , which falls upon the two straight lines AB , CÔ , make the alternate angles ...
... falling upon two other straight lines make the alternate angles equal to one another , these two straight lines shall be parallel . Let the straight line EF , which falls upon the two straight lines AB , CÔ , make the alternate angles ...
Page 118
... falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same side ... falls upon the two straight lines AB , CD , make— E G A- The exterior angle EGB equal to the interior and opposite ...
... falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same side ... falls upon the two straight lines AB , CD , make— E G A- The exterior angle EGB equal to the interior and opposite ...
Page 119
... fall upon two parallel straight lines , it makes the alternate angles equal to one another , and the exterior angle equal to the interior and opposite upon the same side ; and also the two interior angles upon the same side together ...
... fall upon two parallel straight lines , it makes the alternate angles equal to one another , and the exterior angle equal to the interior and opposite upon the same side ; and also the two interior angles upon the same side together ...
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Common terms and phrases
a²b a²b² ab² ab³ ABCD algebraical angle ABC angle BAC angle BCD base BC BC is equal bisect brackets cent centim centre circle ABC circumference coefficient common Const cosec cube root decimal figures denominator divided divisor draw equation expression exterior angle factor Find the value fraction given straight line gnomon gram greater Hence integer join kilom less Let ABC logarithm metres miles millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment sides sin² sine square on AC square root subtraction touches the circle triangle ABC twice the rectangle x²y² x³y xy³
Popular passages
Page 272 - The angles in the same segment of a circle are equal to one another.
Page 103 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Page 233 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines, and let BC be divided into any...
Page 112 - IF two triangles have two sides of the one equal to two sides of the...
Page 128 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Page 119 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Page 113 - ... equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other.
Page 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Page 281 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 121 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.